Question:
A plane starts from rest with acceleration of $3\,ms^{-2}$ and makes a run for $35\, s$ before taking off. The minimum length of runway and velocity of plane at take off are respectively
A plane starts from rest with acceleration of $3\,ms^{-2}$ and makes a run for $35\, s$ before taking off. The minimum length of runway and velocity of plane at take off are respectively
Updated On: Jul 5, 2022
- $1838\, m, 105 \,ms^{-1}$
- $1388\, m, 501\, ms^{-1}$
- $3188\, m, 51\, m s^{-1}$
- $838\, m, 95 \,ms^{-1}.$
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The Correct Option is A
Solution and Explanation
Using S = $ut + \frac{1}{2} at^2$, we get
S = $0 + \frac{1}{2} \times 3 \times 35^2$ = 1837.5 m
Using $\upsilon = u + at$ , we get $\upsilon = 0 + 3 \times 35 = 105 \, m \, s^{-1}$
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.